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Finding the Fourth Proportional to 552,184.40, 829,054.20 and 342,232.40

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Solution

The fourth proportional to 552,184.40, 829,054.20 and 342,232.40 is: 513,830.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,184.40 : 829,054.20 = 342,232.40 : x
  2. Step 2: Convert to fraction form
    552,184.40/829,054.20 = 342,232.40/x
  3. Step 3: Cross multiply
    552,184.40x = 829,054.20 × 342,232.40
  4. Step 4: Simplify right side
    552,184.40x = 283,729,208,596.08
  5. Step 5: Solve for x
    x = 283,729,208,596.08/552,184.40
  6. Step 6: Final answer
    x = 513,830.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.